Some renditions are of symphonic dimensions, with the contrabass given free rein.

Oversized monsters are never brought home either alive or preserved, and field measurements are obviously open to doubt because of the universal tendency to exaggerate dimensions.

This latter assumption will permit us to center attention on the most controversial aspect of modern public utility cost analysis -- the distinction among costs that are functions of outputs of the same service measured along different dimensions.

Cell dimensions, number of formula units per cell, space group, and specific gravity are given for all substances.

The data presented are derived almost entirely from X-ray diffraction measurements and include atomic coordinates, cell dimensions, and atomic and ionic radii.

Profile cutting machines are available which can split foam to any desired thickness and produce sine, triangle, trapezoid, and other profiles in variable heights, dimensions, etc..

Biological Anthropology and Physical Anthropology are synonymous terms to describe anthropological research focused on the study of humans and non-human primates in their biological, evolutionary, and demographic dimensions.

Aspect ratios are mathematically expressed as x: y ( pronounced " x-to-y ") and x × y ( pronounced " x-by-y "), with the latter particularly used for pixel dimensions, such as 640 × 480.

Although a wide variety of graphite tube designs have been used over the years, the dimensions nowadays are typically 20 – 25 mm in length and 5 – 6 mm inner diameter.

* A simple anthropic argument for why there are 3 spatial and 1 temporal dimensions.

In addition to the dam ’ s reduced pelvic dimensions, the calf ’ s birth weight and width are increased, in turn making parturition harder.

There are differences between the various areas in which brochs are found, with regard to position, dimensions and likely status.

Generalizations of Bézier curves to higher dimensions are called Bézier surfaces, of which the Bézier triangle is a special case.

Communication is usually described along a few major dimensions: Message ( what type of things are communicated ), source / emisor / sender / encoder ( by whom ), form ( in which form ), channel ( through which medium ), destination / receiver / target / decoder ( to whom ), and Receiver.

String theory requires that, in addition to the three spatial dimensions we observe, there exist additional dimensions that are curled up or compactified ( see also Kaluza-Klein theory ).

A crystal or crystalline solid is a solid material whose constituent atoms, molecules, or ions are arranged in an ordered pattern extending in all three spatial dimensions.

In two dimensions, closed disks are compact since for any infinite number of points sampled from a disk, some subset of those points must get arbitrarily close either to a point within the disc, or to a point on the boundary.

Unlike the gradient and divergence, curl does not generalize as simply to other dimensions ; some generalizations are possible, but only in three dimensions is the geometrically defined curl of a vector field again a vector field.

In 3 dimensions, a differential 0-form is simply a function f ( x, y, z ); a differential 1-form is the following expression: a differential 2-form is the formal sum: and a differential 3-form is defined by a single term: ( Here the a-coefficients are real functions ; the " wedge products ", e. g. can be interpreted as some kind of oriented area elements,, etc.

The integrated data are then moved to yet another database, often called the data warehouse database, where the data is arranged into hierarchal groups often called dimensions and into facts and aggregate facts.

In a dimensional approach, transaction data are partitioned into " facts ", which are generally numeric transaction data, and " dimensions ", which are the reference information that gives context to the facts.

This stadium was in all its dimensions far larger than the 1936 Olympic Stadium in Berlin, which held only 115, 000 spectators.

The pitch dimensions are 105 m × 68 m ( 115 × 74 yd ), with a lawn.

The moated site has external dimensions of approximately 137 metres north to south and 115 metres east to west.

Phonemes connected by a morphophonemic rule commonly show a good bit of phonetic similarity, possible because of the several dimensions of contrast in the system.

If the patient can perceive figure kinesthetically when he cannot perceive it visually, then, it would seem, the sense of touch has immediate contact with the spatial aspects of things in independence of visual representations, at least in regard to two dimensions, and, as we shall see, even this much spatial awareness on the part of unaided touch is denied by the authors.

This question might be settled by comparing the measurement of the actual circumference with the dimensions noted, presumably in Brumidi's hand, above the various sections of his long preparatory drawing, which has been kept.

-- Recent theoretical work to calculate the dimensions of polymeric chains by Volkenstein and Lifson has been extended to include more general types of chains.

Space in any form is completely measured by the three dimensions.

); its design was planned by the government of the day ; and it places individual letters in syllable clusters with equal dimensions, in the same way as Chinese characters, to allow for mixed-script writing ( one syllable always takes up one type-space no matter how many letters get stacked into building that one sound-block ).

One fringe theory, supported by paranormal investigator Jon-Erik Beckjord, theorizes that the lack of hard evidence supporting Bigfoot's existence may be due to the creature being an interdimensional being that slips in and out of dimensions.

* Dispersion of large particles or droplets to the colloidal dimensions by milling, spraying, or application of shear ( e. g., shaking, mixing, or high shear mixing ).

After the advent of quantum mechanics, work done by Landau in 1930 predicted the quantization of the Hall conductance for electrons confined in two dimensions.

The geometric interpretation of curl as rotation corresponds to identifying bivectors ( 2-vectors ) in 3 dimensions with the special orthogonal Lie algebra so ( 3 ) of infinitesimal rotations ( in coordinates, skew-symmetric 3 × 3 matrices ), while representing rotations by vectors corresponds to identifying 1-vectors ( equivalently, 2-vectors ) and so ( 3 ), these all being 3-dimensional spaces.

" From these principles and some additional constraints —( 1a ) a lower bound on the linear dimensions of any of the parts, ( 1b ) an upper bound on speed of propagation ( the velocity of light ), ( 2 ) discrete progress of the machine, and ( 3 ) deterministic behavior — he produces a theorem that " What can be calculated by a device satisfying principles I – IV is computable.

The idea of this system was developed in 1637 in writings by Descartes and independently by Pierre de Fermat, although Fermat also worked in three dimensions, and did not publish the discovery.

The modern Cartesian coordinate system in two dimensions ( also called a rectangular coordinate system ) is defined by an ordered pair of perpendicular lines ( axes ), a single unit of length for both axes, and an orientation for each axis.

A drill-across works by grouping ( summarizing ) the data along the keys of the ( shared ) conformed dimensions of each fact participating in the " drill across " followed by a join on the keys of these grouped ( summarized ) facts.

In physics and all science, dimensional analysis is a tool to find or check relations among physical quantities by using their dimensions.

It is also used to form reasonable hypotheses about complex physical situations that can be tested by experiment or by more developed theories of the phenomena, and to categorize types of physical quantities and units based on their relations to or dependence on other units, or their dimensions if any.

The capstone rested at 7 feet high with dimensions of 9 feet by 17. 5 feet weighing 13. 5 tons.

A divide and conquer algorithm for triangulations in two dimensions is due to Lee and Schachter which was improved by Guibas and Stolfi and later by Dwyer.

A divide and conquer paradigm to performing a triangulation in d dimensions is presented in " DeWall: A fast divide and conquer Delaunay triangulation algorithm in E < sup > d </ sup >" by P. Cignoni, C. Montani, R. Scopigno .< ref >